Advertisements
Advertisements
प्रश्न
In the given figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
उत्तर
In ∆PSQ and ∆RQS.
SQ = QS ......(Common)
PS = RQ = 4 cm ......(Given)
∠PSQ = ∠RQS = 40° ......(Given)
∴ ∆PSQ ≅ ∆ROS ......(SAS criterion)
APPEARS IN
संबंधित प्रश्न
In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED
In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
Construct a triangle ABC with given conditions.
AB = 7 cm, AC = 6.5 cm and ∠A = 120°
Construct a triangle PQR with given conditions.
∠P = 115°, ∠Q = 40° and PQ = 6 cm
In ∆ABC and ∆PQR, ∠A = 50° = ∠P, PQ = AB, and PR = AC. By which property ∆ABC and ∆PQR are congruent?
In the given figures, two triangles are congruent by RHS.
State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).
∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°
∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°
State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).
∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm
∆XYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm
In the given figure, PO = PS and ∠1 = ∠2.
- Is ∆PQR ≅ ∆PSR? Give reasons.
- Is QR = SR? Give reasons.